Acronym	quit sissiddip
Name	quasitruncated-small-stellated-dodecahedron prism, small-stellated-truncated-dodecahedron prism
Circumradius	sqrt[(19-5 sqrt(5))/8] = 0.988665
Colonel of regiment	(is itself locally convex – no other uniform polyhedral members)
Dihedral angles	at {4} between stiddip and stiddip:   arccos(-1/sqrt(5)) = 116.565051° at {5} between pip and quit sissid:   90° at {10/3} between quit sissid and stiddip:   90° at {4} between pip and stiddip:   arccos(1/sqrt(5)) = 63.434949°
Face vector	120, 240, 138, 26
Confer	general polytopal classes: Wythoffian polychora
External links

As abstract polytope quit sissiddip is isomorphic to tigiddip, thereby replacing pentagons by pentagrams and decagrams by decagons, resp replacing quit sissid by tigid, pip by stip, and stiddip by dip.

Incidence matrix according to Dynkin symbol

x o5x5/3x

. . .   . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. . x   . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. . .   x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
----------+-----+-----------+-------------+--------
x . x   . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x . .   x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5x   . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. . x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o5x   . ♦  10 |  5  10  0 |  5  0  2  0 | 12  * *
x . x5/3x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5x5/3x ♦  60 |  0  60 30 |  0  0 12 12 |  *  * 2

x o5/4x5/3x

. .   .   . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
------------+-----+-----------+-------------+--------
x .   .   . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. .   x   . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. .   .   x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
------------+-----+-----------+-------------+--------
x .   x   . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x .   .   x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5/4x   . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. .   x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
------------+-----+-----------+-------------+--------
x o5/4x   . ♦  10 |  5  10  0 |  5  0  2  0 | 12  * *
x .   x5/3x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5/4x5/3x ♦  60 |  0  60 30 |  0  0 12 12 |  *  * 2